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Finding the Fourth Proportional to 698.59, 1,048.02 and 333.41

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Solution

The fourth proportional to 698.59, 1,048.02 and 333.41 is: 500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.59 : 1,048.02 = 333.41 : x
  2. Step 2: Convert to fraction form
    698.59/1,048.02 = 333.41/x
  3. Step 3: Cross multiply
    698.59x = 1,048.02 × 333.41
  4. Step 4: Simplify right side
    698.59x = 349,416.42
  5. Step 5: Solve for x
    x = 349,416.42/698.59
  6. Step 6: Final answer
    x = 500.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.